The ratio of the number of tarts to the number of scones in a supermarket is 5 : 1. A tart costs $1.70 and a scone costs $0.50. If all the tarts and scones are sold, a sum of $360 will be collected. How many tarts are there altogether?
| |
Tarts |
Scones |
Total |
| Number |
5 u |
1 u |
|
| Value |
$1.70 |
$0.50 |
|
| Total value |
8.5 u |
0.5 u |
$360 |
Amount collected if all the tarts are sold
= 5 u x 1.7
= 8.5 u
Amount collected if all the scones are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the tarts and scones are sold
= 8.5 u + 0.5 u
= 9 u
9 u = 360
1 u = 360 ÷ 9 = 40
Total number of tarts
= 5 u
= 5 x 40
= 200
Answer(s): 200
